Math, asked by riyaz141, 11 months ago

Find that 37201 is perfect square or not. Give reason why​

Answers

Answered by chinmay3199
0

Answer:

it is a perfect square it is the answer for the question

Answered by kakxjakxkjalxmjcas
5

Answer:

hi

Step-by-step explanation:

Step 1:

What is the last number of 37,201? It is this number: 37201. The answer is 1. Is 1 in the list of numbers that are never perfect squares (2, 3, 7 or 8)?

Answer: NO, 1 is not in the list of numbers that are never perfect squares. Let's continue to the next step.

Step 2:

We now need to obtain the digital root of the number. Here's how you do it:

Split the number up and add each digit together:

3 + 7 + 2 + 0 + 1 = 13

If the answer is more than one digit, you would add each digit of the answer together again:

1 + 3 = 4

What is the digital root of number 37,201?

Answer: 4

Step 3:

So now we know the digital root of 37,201 is 4. Is 4 in the list of digital roots that are always a square root (1, 4, 7 or 9)?

Answer: YES, 4 is in the list of digital roots that are always perfect squares. We can conclude that 37,201 could be a perfect square!

Factoring

OK, so now we know that 37,201 could be a perfect square. We have to find the factors of the number to be sure.

Here are all of the factors of 37,201:

1 x 37,201

We're looking for a factor combination with equal numbers for X and Y (like 3x3) above. Notice there isn't a equal factor combination, that when multiplied together, produce the number 37,201. That means 37,201 is NOT a perfect square.

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